Search a number
-
+
42073297896 = 23375916326041
BaseRepresentation
bin100111001011110000…
…111001001111101000
311000121011022222112110
4213023300321033220
51142131231013041
631154520442320
73016421063040
oct471360711750
9130534288473
1042073297896
1116930309483
1281a23193a0
133c76781556
142071aa6720
151163a27516
hex9cbc393e8

42073297896 has 128 divisors (see below), whose sum is σ = 123001574400. Its totient is φ = 11744248320.

The previous prime is 42073297879. The next prime is 42073297901. The reversal of 42073297896 is 69879237024.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1602636 + ... + 1628676.

It is an arithmetic number, because the mean of its divisors is an integer number (960949800).

Almost surely, 242073297896 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42073297896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61500787200).

42073297896 is an abundant number, since it is smaller than the sum of its proper divisors (80928276504).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

42073297896 is a wasteful number, since it uses less digits than its factorization.

42073297896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26279 (or 26275 counting only the distinct ones).

The product of its (nonzero) digits is 9144576, while the sum is 57.

The spelling of 42073297896 in words is "forty-two billion, seventy-three million, two hundred ninety-seven thousand, eight hundred ninety-six".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 59 84 118 163 168 177 236 326 354 413 472 489 652 708 826 978 1141 1239 1304 1416 1652 1956 2282 2478 3304 3423 3912 4564 4956 6846 9128 9617 9912 13692 19234 26041 27384 28851 38468 52082 57702 67319 76936 78123 104164 115404 134638 156246 182287 201957 208328 230808 269276 312492 364574 403914 538552 546861 624984 729148 807828 1093722 1458296 1536419 1615656 2187444 3072838 4244683 4374888 4609257 6145676 8489366 9218514 10754933 12291352 12734049 16978732 18437028 21509866 25468098 29712781 32264799 33957464 36874056 43019732 50936196 59425562 64529598 86039464 89138343 101872392 118851124 129059196 178276686 237702248 250436297 258118392 356553372 500872594 713106744 751308891 1001745188 1502617782 1753054079 2003490376 3005235564 3506108158 5259162237 6010471128 7012216316 10518324474 14024432632 21036648948 42073297896